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1

Singularity and decay estimates in superlinear problems via Liouville-type theorems, I: Elliptic equations and systems

Poláčik, Peter, Quittner, Pavol, Souplet, Philippe

Journal:

Duke Mathematical Journal

Year:

2007

Language:

english

File:

PDF, 152 KB

english, 2007

2

Global existence of solutions for a chemotaxis-type system arising in crime modelling

MANÁSEVICH, RAÚL, PHAN, QUOC HUNG, SOUPLET, PHILIPPE

Journal:

European Journal of Applied Mathematics

Year:

2013

Language:

english

File:

PDF, 556 KB

english, 2013

3

Poincaré's inequality and global solutions of a nonlinear parabolic equation

Philippe Souplet, Fred B. Weissler

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

1999

Language:

english

File:

PDF, 1.81 MB

english, 1999

4

The proof of the Lane–Emden conjecture in four space dimensions

Philippe Souplet

Journal:

Advances in Mathematics

Year:

2009

Language:

english

File:

PDF, 173 KB

english, 2009

5

Linear and nonlinear heat equations in $L^q_delta$ spaces and universal bounds for global solutions

Marek Fila, Philippe Souplet, Fred B. Weissler

Journal:

Mathematische Annalen

Year:

2001

Language:

english

File:

PDF, 189 KB

english, 2001

6

The blow-up rate for semilinear parabolic problems on general domains

Marek Fila, Philippe Souplet

Journal:

Nonlinear Differential Equations and Applications NoDEA

Year:

2001

Language:

english

File:

PDF, 119 KB

english, 2001

7

Optimal regularity conditions for elliptic problems via $L^p_\delta$ -spaces

Souplet, Philippe

Journal:

Duke Mathematical Journal

Year:

2005

Language:

english

File:

PDF, 214 KB

english, 2005

8

Blow-up in Nonlocal Reaction-Diffusion Equations

Souplet, Philippe

Journal:

SIAM Journal on Mathematical Analysis

Year:

1998

Language:

english

File:

PDF, 476 KB

english, 1998

9

Decay of Heat Semigroups in L∞ and Applications to Nonlinear Parabolic Problems in Unbounded Domains

Philippe Souplet

Journal:

Journal of Functional Analysis

Year:

2000

Language:

english

File:

PDF, 166 KB

english, 2000

10

SHARP GRADIENT ESTIMATE AND YAU'S LIOUVILLE THEOREM FOR THE HEAT EQUATION ON NONCOMPACT MANIFOLDS

SOUPLET, PHILIPPE, ZHANG, QI S.

Journal:

Bulletin of the London Mathematical Society

Year:

2006

Language:

english

File:

PDF, 139 KB

english, 2006

11

Proportionality of Components, Liouville Theorems and a Priori Estimates for Noncooperative Elliptic Systems

Montaru, Alexandre, Sirakov, Boyan, Souplet, Philippe

Journal:

Archive for Rational Mechanics and Analysis

Year:

2014

Language:

english

File:

PDF, 444 KB

english, 2014

12

Existence of global solutions with slow decay and unbounded free boundary for a superlinear Stefan problem

Souplet, Philippe, Fila, Marek

Journal:

Interfaces and Free Boundaries

Year:

2001

Language:

english

File:

PDF, 92 KB

english, 2001

13

Gradient blow-up rates and sharp gradient estimates for diffusive HamiltonâJacobi equations

Attouchi, Amal, Souplet, Philippe

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2020

File:

PDF, 453 KB

2020

14

Bounds of global solutions of parabolic problems with nonlinear boundary conditions

Quittner, Pavol, Souplet, Philippe

Journal:

Indiana University Mathematics Journal

Year:

2003

Language:

english

File:

PDF, 361 KB

english, 2003

15

Transversality of stable and Nehari manifolds for a semilinear heat equation

Flavio Dickstein, Noriko Mizoguchi, Philippe Souplet, Fred Weissler

Journal:

Calculus of Variations and Partial Differential Equations

Year:

2011

Language:

english

File:

PDF, 300 KB

english, 2011

16

Singularity and decay estimates in superlinear problems via Liouville-type theorems. Part II: Parabolic equations

Polacik, Peter, Quittner, Pavol, Souplet, Philippe

Journal:

Indiana University Mathematics Journal

Year:

2007

Language:

english

File:

PDF, 370 KB

english, 2007

17

Fast rate of formation of dead-core for the heat equation with strong absorption and applications to fast blow-up

Jong-Shenq Guo, Philippe Souplet

Journal:

Mathematische Annalen

Year:

2005

Language:

english

File:

PDF, 178 KB

english, 2005

18

Decay of Global Solutions, Stability and Blowup for a Reaction-Diffusion Problem with Free Boundary

Hamid Ghidouche, Philippe Souplet and Domingo Tarzia

Journal:

Proceedings of the American Mathematical Society

Year:

2001

Language:

english

File:

PDF, 288 KB

english, 2001

19

Confirmation de réactions croisées entre deux substrats de transglutaminases humaines : la protéine Hwp1 de la phase mycélienne de Candida albicans et le gluten. Une incidence sur l’étiopathogénie de la maladie céliaque ?

Loridant, S., Fradin, C., Souplet, V., Robert, R., Colombel, J.-F., Sendid, B., Poulain, D.

Journal:

Journal de Mycologie Médicale / Journal of Medical Mycology

Year:

2013

Language:

french

File:

PDF, 155 KB

french, 2013

20

Single-point blow-up for a semilinear parabolic system

Souplet, Philippe

Journal:

Journal of the European Mathematical Society

Year:

2009

Language:

english

File:

PDF, 184 KB

english, 2009

21

A Liouville-type theorem for the 3-dimensional parabolic Gross–Pitaevskii and related systems

Phan, Quoc Hung, Souplet, Philippe

Journal:

Mathematische Annalen

Year:

2016

Language:

english

File:

PDF, 583 KB

english, 2016

22

Optimal condition for blow-up of the critical L norm for the semilinear heat equation

Mizoguchi, Noriko, Souplet, Philippe

Journal:

Advances in Mathematics

Year:

2019

Language:

english

File:

PDF, 481 KB

english, 2019

23

Single-Point Gradient Blow-up on the Boundary for Diffusive Hamilton-Jacobi Equations in Planar Domains

Li Yuxiang, Philippe Souplet

Journal:

Communications in Mathematical Physics

Year:

2010

Language:

english

File:

PDF, 298 KB

english, 2010

24

The influence of space dimension on the large-time behavior in a reaction–diffusion system modeling diallelic selection

Philippe Souplet, Michael Winkler

Journal:

Journal of Mathematical Biology

Year:

2011

Language:

english

File:

PDF, 329 KB

english, 2011

25

Liouville-type theorems and bounds of solutions of Hardy–Hénon equations

Quoc Hung Phan, Philippe Souplet

Journal:

Journal of Differential Equations

Year:

2012

Language:

english

File:

PDF, 228 KB

english, 2012

26

Nondegeneracy of blow-up points for the parabolic Keller–Segel system

Mizoguchi, Noriko, Souplet, Philippe

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

2014

Language:

english

File:

PDF, 1018 KB

english, 2014

27

Morrey spaces and classification of global solutions for a supercritical semilinear heat equation in

Souplet, Philippe

Journal:

Journal of Functional Analysis

Year:

2017

Language:

english

File:

PDF, 1.53 MB

english, 2017

28

Initial blow-up rates and universal bounds for nonlinear heat equations

Pavol Quittner, Philippe Souplet, Michael Winkler

Journal:

Journal of Differential Equations

Year:

2004

Language:

english

File:

PDF, 327 KB

english, 2004

29

Critical blowup exponents for a system of reaction-diffusion equations with absorption

N. Bedjaoui, P. Souplet

Journal:

Zeitschrift für Angewandte Mathematik und Physik (ZAMP)

Year:

2002

Language:

english

File:

PDF, 231 KB

english, 2002

30

Apport d’un algorithme de segmentation semi-automatique pour analyse des adenopathies mediastinales

Novellas, S., Malandain, G., Costa, J., Souplet, J.C., Ayache, N., Chevallier, P.

Journal:

Journal de Radiologie

Year:

2008

Language:

french

File:

PDF, 165 KB

french, 2008

31

Excluding blowup at zero points of the potential by means of Liouville-type theorems

Guo, Jong-Shenq, Souplet, Philippe

Journal:

Journal of Differential Equations

Year:

2018

Language:

english

File:

PDF, 1007 KB

english, 2018

32

A Simplified Approach to the Refined Blowup Behavior for the Nonlinear Heat Equation

Souplet, Philippe

Journal:

SIAM Journal on Mathematical Analysis

Year:

2019

Language:

english

File:

PDF, 457 KB

english, 2019

33

Optimal growth rates for a viscous Hamilton-Jacobi equation

Philippe Laurençot, Philippe Souplet

Journal:

Journal of Evolution Equations

Year:

2005

Language:

english

File:

PDF, 130 KB

english, 2005

34

Sepinria : un outil d’évaluation de la charge lésionnelle chez des patients atteints de sclérose en plaques

Souplet, J.-C., Lebrun, C., Fillard, P., Ayache, N., Clavelou, P., Malandain, G.

Journal:

Revue Neurologique

Year:

2007

Language:

french

File:

PDF, 89 KB

french, 2007

35

Universal Bounds for Global Solutions of Fast Diffusion Equations with Source

Souplet, Philippe

Journal:

Communications in Partial Differential Equations

Year:

2003

Language:

english

File:

PDF, 269 KB

english, 2003

36

Analysis of the loss of boundary conditions for the diffusive Hamilton–Jacobi equation

Porretta, Alessio, Souplet, Philippe

Journal:

Annales de l'Institut Henri Poincare (C) Non Linear Analysis

Year:

2017

Language:

english

File:

PDF, 604 KB

english, 2017

37

Uniqueness and nonuniqueness results for the antiperiodic solutions of some second-order nonlinear evolution equations

Philippe Souplet

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

1996

Language:

english

File:

PDF, 684 KB

english, 1996

38

Sur la non-existence et la non-unicité des solutions du problème de Cauchy pour une équation parabolique semi-linéaire

Matania Ben-Artzi, Philippe Souplet, Fred B. Weissler

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

1999

Language:

english

File:

PDF, 449 KB

english, 1999

39

Classification of large-time behaviors in a reaction–diffusion system modeling diallelic selection

Philippe Souplet, Michael Winkler

Journal:

Mathematical Biosciences

Year:

2012

Language:

english

File:

PDF, 564 KB

english, 2012

40

Blow-up Profiles for the Parabolic–Elliptic Keller–Segel System in Dimensions $${n\geq 3}$$n≥3

Souplet, Philippe, Winkler, Michael

Journal:

Communications in Mathematical Physics

Year:

2018

Language:

english

File:

PDF, 491 KB

english, 2018

41

Monotonicity of solutions and blow-up for semilinear parabolic equations with nonlinear memory

Philippe Souplet

Journal:

Zeitschrift für Angewandte Mathematik und Physik (ZAMP)

Year:

2004

Language:

english

File:

PDF, 121 KB

english, 2004

42

Symmetry of components and Liouville theorems for noncooperative elliptic systems on the half-space

Montaru, Alexandre, Souplet, Philippe

Journal:

Comptes Rendus Mathematique

Year:

2014

File:

PDF, 221 KB

2014

43

The local theory for viscous Hamilton–Jacobi equations in Lebesgue spaces

Matania Ben-Artzi, Philippe Souplet, Fred B. Weissler

Journal:

Journal de Mathématiques Pures et Appliquées

Year:

2002

Language:

english

File:

PDF, 387 KB

english, 2002

44

Global solutions of inhomogeneous Hamilton-Jacobi equations

Philippe Souplet, Qi S. Zhang

Journal:

Journal d'Analyse Mathématique

Year:

2006

Language:

english

File:

PDF, 1.73 MB

english, 2006

45

No Touchdown at Zero Points of the Permittivity Profile for the MEMS Problem

Guo, Jong-Shenq, Souplet, Philippe

Journal:

SIAM Journal on Mathematical Analysis

Year:

2015

Language:

english

File:

PDF, 168 KB

english, 2015

46

10.1090/s0002-9939-00-05705-1

Ghidouche, Hamid, Souplet, Philippe, Tarzia, Domingo

Journal:

Proceedings of the American Mathematical Society

Year:

2001

Language:

english

File:

PDF, 221 KB

english, 2001

47

Agrodiag PorCoV: A multiplex immunoassay for the differential diagnosis of porcine enteric coronaviruses

Malbec, RÃ©mi, Kimpston-Burkgren, Kay, Vandenkoornhuyse, Elisa, Olivier, Christophe, Souplet, Vianney, Audebert, Christophe, Carrillo-Ãvila, Jose Antonio, Baum, David, GimÃ©nez-Lirola, Luis

Journal:

Journal of Immunological Methods

Year:

2020

File:

PDF, 833 KB

2020

48

Geometry of unbounded domains,poincaré inequalities and stability in semilinear parabolic equations

Souplet, Philippe

Journal:

Communications in Partial Differential Equations

Year:

1999

Language:

english

File:

PDF, 818 KB

english, 1999

49

A priori estimates and bifurcation of solutions for an elliptic equation with semidefinite critical growth in the gradient

Souplet, Philippe

Journal:

Nonlinear Analysis: Theory, Methods & Applications

Year:

2015

Language:

english

File:

PDF, 386 KB

english, 2015

50

Existence of ground states for semilinear elliptic equations with decaying mass: a parabolic approach

Philippe Souplet, Qi S. Zhang

Journal:

Comptes Rendus de l'Académie des Sciences - Series I - Mathematics

Year:

2001

Language:

french

File:

PDF, 119 KB

french, 2001

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